Linear Equations - Verbal Reasoning Multiple Choice questions

The equations 3x - 4y = 5 and 12x - 16y = 20 have :

A. no common solution.

B. exactly one common solution.

C. exactly two common solutions.

D. more than two common solutions.

E. None of the above

View Answer View Explanation

D. MORE THAN TWO COMMON SOLUTIONS.

Posted in: Linear Equations - Algebra - Mathematics

The solution of the system of simultaneous linear equations
4x - 3y = 7 and 7x + 5y = 2 is :

A. x = 1, y = 1

B. x = -1, y = 1

C. x = -1, y = -1

D. x = 1, y = -1

E. None of the above

View Answer View Explanation

D. X = 1, Y = -1

Posted in: Linear Equations - Algebra - Mathematics

Consider the following two sets of equations :
I. 2x - y = 0 and 6x - 3y = 0
II. 3x - 4y = 0 and 12x - 20y = 0

A. both sets I and II possess unique solutions.

B. Set I possesses unique solution and set II has infinitely many solutions.

C. Set II possesses unique solution and set I possesses infinitely many solutions.

D. None of the sets I and II possesses a unique solution.

E. None of the above

View Answer View Explanation

C. SET II POSSESSES UNIQUE SOLUTION AND SET I POSSESSES INFINITELY MANY SOLUTIONS.

Posted in: Linear Equations - Algebra - Mathematics

If 2x + 3y = 5 and x = - 2, then the value of y is:

A. 1/3

B. 1

C. 3

D. 9

E. None of the above

View Answer View Explanation

C. 3

Posted in: Linear Equations - Algebra - Mathematics

The system of equtions 3x + y - 1 = 0 and 6x + 2y - 2 = 0

A. has x = 1 and y = 2 as solutions

B. has x = -1 and y = -2 as solutions

C. does not have a solution

D. has infinitely many solutions

E. None of the above

View Answer View Explanation

D. HAS INFINITELY MANY SOLUTIONS

Posted in: Linear Equations - Analogy - Verbal Reasoning

The equations 3x - 4y = 5 and 12x - 16y = 20 have :

The solution of the system of simultaneous linear equations4x - 3y = 7 and 7x + 5y = 2 is :

Consider the following two sets of equations :I. 2x - y = 0 and 6x - 3y = 0II. 3x - 4y = 0 and 12x - 20y = 0

If 2x + 3y = 5 and x = - 2, then the value of y is:

The system of equtions 3x + y - 1 = 0 and 6x + 2y - 2 = 0

The solution of the system of simultaneous linear equations
4x - 3y = 7 and 7x + 5y = 2 is :

Consider the following two sets of equations :
I. 2x - y = 0 and 6x - 3y = 0
II. 3x - 4y = 0 and 12x - 20y = 0